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For how long must a solid sphere of mass 3.95 kg accelerate from rest at α...

For how long must a solid sphere of mass 3.95 kg accelerate from rest at α = 0.84 rad/s^2 for the sphere to have the same rotational kinetic energy as a spherical shell of mass 5.86 kg and angular velocity 12.4 rad/s. Both objects have the same radius of 2.00 m. (I_sp = (2/5)MR^2, I_sh = (2/3)MR^2)
A. 18.0 s
B. 23.2 s
C. 27.9 s
D. 13.9 s

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Answer #1

Using net torque is Zero:

so, put all value in this equation

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